Solve each system by substitution. (3x+2y=23, 1/2x-4=y), (4x=3y-2, 18=3x+y), (4y+3=3y+x, 2x+4y=18), (4y-x=5+2y, 3x+7y=24)

Answers

Answer 1
Answer: (31/4, 1/8)

(4,6)
these are the answers to the first two 

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All spheres are similar.
O
A. True
O
B. False​

Answers

The spheres are similar as their radius will be in the ratio

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the first sphere be represented as A

Now , the radius of the sphere A = r₁

Let the first sphere be represented as B

Now , the radius of the sphere B = r₂

And , the volume of sphere A , V₁ = ( 4/3 ) πr₁³

The volume of sphere B , V₂  = ( 4/3 ) πr₂³

The ratio of V₁ / V₂ is given by

V₁ / V₂ = ( 4/3 ) πr₁³ / ( 4/3 ) πr₂³

On simplifying , we get

V₁ / V₂ = r₁³ / r₂³

So , the spheres are similar by their ratio of radius

Hence , all the spheres are similar in ratios

To learn more about sphere click :

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Answer:

True

Step-by-step explanation:

Liam, Sarah and Emily shared some money in the ratio 2:3:5. Liam got £30 less than Sarah. How much money did Emily get

Answers

The number representing Liam's share is 2; for Sarah's share, it is 3. The difference of those is 1, so each 1 unit of share must be £30, the difference between the amount Sarah got and the amount Liam got.

Emily got 5 shares or £30 × 5 = £150.

How are mixed numbers used in The real world

Answers

Often, mixed number are used in terms of amounts of something. You would never say I have 16/5 pies. You would say I have 3 full pies and 1/5 of another pie. 

In this example, 3 1/5 is better to use than the improper 16/5

Hope this helps!

What is the answer to y=2•2^x

Answers

Answer:

y=4^x

Step-by-step explanation:

If you know the perimeter of a rectangle but not its width or length, can you calculate its area? Explain.

Answers

You need to know how long the shorter and longer side of a rectangle to calculate area

How do you write 97.356 in number names and write this It using number base ten numerals

Answers

You write 97.356 as ninety-seven and because of the decimal 356 thousandths